CAJ | 학술논문

研究了正交异性双材料半无限界面裂纹问题。通过引入含有复奇异指数的新应力函数，利用复变函数方法将界面裂纹问题转化为求解一类广义重调和方程的边值问题，推出正交异性双材料界面裂纹尖端应力具有四种奇异性。并建立了四种奇异性下给定载荷条件时界面裂纹尖端应力强度因子的计算公式。通过算例验证了四种奇异性的存在性。
연구료정교이성쌍재료반무한계면렬문문제。통과인입함유복기이지수적신응력함수，이용복변함수방법장계면렬문문제전화위구해일류엄의중조화방정적변치문제，추출정교이성쌍재료계면렬문첨단응력구유사충기이성。병건립료사충기이성하급정재하조건시계면렬문첨단응력강도인자적계산공식。통과산례험증료사충기이성적존재성。
This study focused on the problems of stress singularities of semi-infinite interface crack for orthotropic bi-material. By constructing new stress functions with complex singularity exponents and employing the method of complex variable function,the problems of interface crack were transformed into a class of generalized bi-harmonic equations boundary value problems. The stress presents two kinds of oscillatory singularities and two kinds of non-oscillatory singularities when the conditions that upper and lower material parameters to be met are given. For the given loading conditions,the calculation formulas of stress intensity factors for four kinds of singularities are de-duced,and the existence of four kinds of singularities is tested by examples.